In the twentieth century, it was a common practice in Southern California for houses to be built with pools in the backyard. For new homes, however, that practice may be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of 121 houses built in Southern California in the twentieth century and an independent, random sample of 78 new houses built in Southern California. The sample of twentieth century houses contained 57 houses with pools, and the sample of new houses contained 25 houses with pools. Based on this survey, can we conclude, at the 0.05 level of significance, that the proportion P₁ of all Southern California twentieth century houses that were built with pools is greater than the proportion P2 of all new Southern California houses that were built with pools? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. : Ho H₁:0 (b) Determine the type of test statistic to use. (Choose one) a P μ X S B 0=0 plo 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) (e) Can we conclude that the proportion of Southern California twentieth century houses built with pools is greater than the proportion for new homes? Yes No 00 0<0 G □□

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In the twentieth century, it was a common practice in Southern California for houses to be built with pools in the backyard. For new homes, however, that practice may be changing, possibly as a measure to help reduce climate change. A recent study examined a random sample of houses built in Southern California in the twentieth century and an independent, random sample of new houses built in Southern California. The sample of twentieth century houses contained houses with pools, and the sample of new houses contained houses with pools. Based on this survey, can we conclude, at the level of significance, that the proportion of all Southern California twentieth century houses that were built with pools is greater than the proportion of all new Southern California houses that were built with pools? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below.